Non-Convex Strong Duality Via Subdifferential |
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Authors: | Antonino Maugeri |
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Affiliation: | Department of Mathematics and Computer Sciences , University of Catania , Catania , Italy |
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Abstract: | In this article, the strong duality is treated. It is shown that the strong duality is equivalent to the non-emptiness of the subdifferential of a sort map involving the constraint functions. It is also noted that this technique is useful to verify the Assumption S. Indeed, the linearity of a constraint function h is not required as usually seen in the literature. Moreover, it is shown that this condition is easer to verify in the applications. We apply this new principle to the bi-obstacle problem, to the elastic-plastic torsion problem and to the continuum model of transportation. |
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Keywords: | Bi-obstacle problem Continuum model of transportation Elastic-plastic problem Strong duality Subdifferential |
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